Solution of extremely large integral-equation problems

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2007-09-21

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Ergül, Özgür Salih
Gürel, L.

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We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with tens of millions of unknowns. Specifically, we report the solution of a closed geometry containing 42 million unknowns and an open geometry containing 20 million unknowns, which are the largest problems of their classes, to the best of our knowledge.

Subject Keywords

Electromagnetic scattering, Integral equations, Iterative algorithms, MLFMA, Partitioning algorithms, Tree data structures, Geometry, Concurrent computing, Sampling methods, Switches

URI

https://hdl.handle.net/11511/39002

DOI

https://doi.org/10.1109/iceaa.2007.4387468

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Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

Ö. S. Ergül and L. Gürel, “Solution of extremely large integral-equation problems,” 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39002.